Atkin-Lehner |
2+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
109330f |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
751680 |
Modular degree for the optimal curve |
Δ |
6503203368493000 = 23 · 53 · 13 · 298 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 5 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51319,-2233358] |
[a1,a2,a3,a4,a6] |
j |
29878729/13000 |
j-invariant |
L |
1.3202023519101 |
L(r)(E,1)/r! |
Ω |
0.33005062507632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109330r1 |
Quadratic twists by: 29 |